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Finding the Fourth Proportional to 23,746.56, 32,763.65 and 14,054.21

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Solution

The fourth proportional to 23,746.56, 32,763.65 and 14,054.21 is: 19,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,746.56 : 32,763.65 = 14,054.21 : x
  2. Step 2: Convert to fraction form
    23,746.56/32,763.65 = 14,054.21/x
  3. Step 3: Cross multiply
    23,746.56x = 32,763.65 × 14,054.21
  4. Step 4: Simplify right side
    23,746.56x = 460,466,983.38
  5. Step 5: Solve for x
    x = 460,466,983.38/23,746.56
  6. Step 6: Final answer
    x = 19,390.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.